Avtomatika i Telemekhanika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Avtomat. i Telemekh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Avtomatika i Telemekhanika, 2009, Issue 7, Pages 50–57 (Mi at497)  
This article is cited in 21 scientific papers (total in 21 papers)

Deterministic Systems

Construction of the optimal outcome function for a time-optimal problem on the basis of a symmetry set

A. A. Uspenskii, P. D. Lebedev

Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, Yekaterinburg, Russia
Full-text PDF (248 kB) Citations (21)
References:
PDF
HTML
Abstract: The set of the symmetry is introduced into consideration, allowing to construct the optimal outcome function for one class of time-optimal problems. Formulas for a finding of this set on a plane are offered. The results find application at studying of geometry of nonconvex sets, in the theory of optimal control and in the theory of positional differential games at studying nonsmooth features of sets of attainability, stable bridges. Besides results can be useful to experts on the equations of Hamilton–Jacobi types, working within the limits of various concepts of the generalized solutions of these equations.
Presented by the member of Editorial Board: L. B. Rapoport

Received: 23.09.2008
English version:
Automation and Remote Control, 2009, Volume 70, Issue 7, Pages 1132–1139
DOI: https://doi.org/10.1134/S0005117909070054
Bibliographic databases:
Document Type: Article
PACS: 02.30.Yy, 02.60.Pn
Language: Russian
Citation: A. A. Uspenskii, P. D. Lebedev, “Construction of the optimal outcome function for a time-optimal problem on the basis of a symmetry set”, Avtomat. i Telemekh., 2009, no. 7, 50–57; Autom. Remote Control, 70:7 (2009), 1132–1139
Citation in format AMSBIB
\Bibitem{UspLeb09}
\by A.~A.~Uspenskii, P.~D.~Lebedev
\paper Construction of the optimal outcome function for a~time-optimal problem on the basis of a~symmetry set
\jour Avtomat. i Telemekh.
\yr 2009
\issue 7
\pages 50--57
\mathnet{http://mi.mathnet.ru/at497}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2567378}
\zmath{https://zbmath.org/?q=an:1206.49052}
\elib{https://elibrary.ru/item.asp?id=15281126}
\transl
\jour Autom. Remote Control
\yr 2009
\vol 70
\issue 7
\pages 1132--1139
\crossref{https://doi.org/10.1134/S0005117909070054}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000268479100005}
\elib{https://elibrary.ru/item.asp?id=15301041}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-68549092843}
Linking options:
  • https://www.mathnet.ru/eng/at497
  • https://www.mathnet.ru/eng/at/y2009/i7/p50
    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Avtomatika i Telemekhanika
    Statistics & downloads:
    Abstract page:344
    Full-text PDF :103
    References:63
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024